I looked at your email and it doesn’t appear to have the “On Behalf of”. Keep in mind that not all email clients will show this “On Behalf of”. One way you can check if it will show up is by viewing the email source and looking for the
Sender: header. That’s the header that some email clients display as “On Behalf of”.
I looked at the source for the emails you sent me and I did not find the
Sender: header, so you should be OK. This means you’re probably using the SMTP server for your other email accounts and NOT the GMail SMTP server.
Thanks for stopping by! 🙂